Sentence examples for matrix with vector from inspiring English sources

The matrix D x) is a diagonal matrix with vector x on its main diagonal.

diag(ν x ) is the diagonal matrix with vector ν x in the main diagonal.

Finally, denotes Kronecker product, denotes the direct sum, and denotes the diagonal matrix with vector on its diagonal.

denotes a diagonal matrix with vector on its diagonal and stands for the trace of a matrix.

Thus, with denoting the circulant channel matrix with vector in its first column [22], the th received signal vector after removal of the CP is given by (8).

I N is an identity matrix with dimension N. diag{x} and Blkdiag stand for the diagonal matrix with vector x on its diagonal and the block diagonal concatenation of input arguments, respectively.

The measurement process can be modeled as, where is an matrix with vectors as rows and is white additive noise (with possibly impulsive behavior).

The operator applied to a vector builds a diagonal matrix with the vector entries placed on the main diagonal.

The use of this algorithm needs software development to evaluate product of coefficient matrices with vectors.

Lemma 2. (9.B.1 in [[12]]) Let M be an n×n Hermitian matrix with a vector diag{M} denoting its diagonal elements and let vector λ{M} contain its eigenvalues.

Here angled bracketing around vector's symbol or putting a "hat" over it denotes a diagonal matrix, with the vector on its main diagonal and zeros elsewhere (see Miller and Blair 2009, p. 697).